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VERSION:2.0
CALSCALE:GREGORIAN
PRODID:UW-Madison-Physics-Events
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SEQUENCE:2
UID:UW-Physics-Event-9243
DTSTART:20250516T183000Z
DTEND:20250516T200000Z
DTSTAMP:20260413T151422Z
LAST-MODIFIED:20250516T201657Z
LOCATION:Sterling  B343
SUMMARY:Quantum Entanglement Theory and Its Generic Searches at the Co
 lliders\, Theory Seminar (High Energy/Cosmology)\, Tianjun Li\, Beijin
 g\, Inst. Theor. Phys.
DESCRIPTION:We propose a new formalism for quantum entanglement\, and 
 study its generic searches at the colliders. For a general quantum sys
 tem with N particles\, we show that the quantum space (the total spin 
 polarization parameter space) is complex projective space\, and the cl
 assical space (the spin polarization parameter space for classical the
 ory) is the cartesian product of the complex projective spaces. Thus\,
  the quantum entanglement space is the difference of these two spaces.
  For the ff\, AA\, Af\, fff\, and ffA systems\, we calculate their dis
 crimants \\Delta_i. The corresponding classical spaces are the discrim
 ant locus \\Delta=0  for ff system\, and intersections of the discrimi
 nant loci \\Delta_i=0 for AA\, Af\, fff\, and ffA systems in the quant
 um space. We show that our criterion \\Delta\\not=0 is equivalent to t
 he original Peres-Horodecki criterion for ff system. At the colliders\
 , we can reconstruct the discriminants from various measurements\, and
  probe the quantum entanglement spaces at exact level. This provides a
  fundamental approach to test the quantum entanglement. In addition\, 
 for the specific approach\, we propose a generic method to calculate t
 he quantum range and classical range for the expectation value of any 
 physics observable\, and can probe the quantum entanglement spaces whi
 ch the previous way cannot test for some cases. Furthermore\, we defin
 e the quantum non-locality tests as the tests for quantum entanglement
  space via the space-like separated measurements\, which can be done a
 t colliders as well. Event recording: https://youtu.be/gtZ_JbsUv2E
URL:https://www.physics.wisc.edu/events/?id=9243
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